Robust controller design for lightly damped systems with feedback delay

D. Hung, S. Phillips
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Abstract

A controller design method based on convex programming is used for lightly damped systems with feedback delay. The designed controllers are robust with respect to time delays in the feedback action, which is often crucial to the stability of lightly damped systems. Exogenous disturbances and unmodeled dynamics are taken into account. Since the convex program is a global optimal technique, once a controller is found, it is optimal in the sense that it meets the design specifications. On the other hand, if no solution is found, then there exists no linear, time-invariant controller which can satisfy the design specifications. Simulation results show that the designed controller can effectively stabilize the lightly damped system and significantly improve its performance.<>
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具有反馈延迟的轻阻尼系统的鲁棒控制器设计
针对具有反馈时滞的轻阻尼系统,提出了一种基于凸规划的控制器设计方法。所设计的控制器对反馈动作中的时间延迟具有鲁棒性,这对轻阻尼系统的稳定性至关重要。考虑了外源干扰和未建模的动力学。由于凸规划是一种全局最优技术,一旦找到一个控制器,它就是最优的,因为它满足设计规范。另一方面,如果找不到解,则不存在满足设计要求的线性定常控制器。仿真结果表明,所设计的控制器能有效地稳定轻阻尼系统,显著提高系统性能。
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